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102212029940 = 22541124648817
BaseRepresentation
bin101111100110001001…
…1111100110111110100
3100202211022222002212112
41133030103330313310
53133312234424230
6114542222310152
710245623630246
oct1371423746764
9322738862775
10102212029940
113a391031a19
1217986728358
13983bb938b7
144d38b50096
1529d3530d95
hex17cc4fcdf4

102212029940 has 24 divisors (see below), whose sum is σ = 219880514952. Its totient is φ = 39887621120.

The previous prime is 102212029939. The next prime is 102212029949. The reversal of 102212029940 is 49920212201.

It can be written as a sum of positive squares in 4 ways, for example, as 799079824 + 101412950116 = 28268^2 + 318454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102212029897 and 102212029906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212029949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62323589 + ... + 62325228.

It is an arithmetic number, because the mean of its divisors is an integer number (9161688123).

Almost surely, 2102212029940 is an apocalyptic number.

102212029940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212029940 is an abundant number, since it is smaller than the sum of its proper divisors (117668485012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212029940 is a wasteful number, since it uses less digits than its factorization.

102212029940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124648867 (or 124648865 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 102212029940 in words is "one hundred two billion, two hundred twelve million, twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 124648817 249297634 498595268 623244085 1246488170 2492976340 5110601497 10221202994 20442405988 25553007485 51106014970 102212029940